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Finding the Fourth Proportional to 40,324.88, 55,648.32 and 22,419.92

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Solution

The fourth proportional to 40,324.88, 55,648.32 and 22,419.92 is: 30,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,324.88 : 55,648.32 = 22,419.92 : x
  2. Step 2: Convert to fraction form
    40,324.88/55,648.32 = 22,419.92/x
  3. Step 3: Cross multiply
    40,324.88x = 55,648.32 × 22,419.92
  4. Step 4: Simplify right side
    40,324.88x = 1,247,630,882.53
  5. Step 5: Solve for x
    x = 1,247,630,882.53/40,324.88
  6. Step 6: Final answer
    x = 30,939.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.